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Finding the Third Proportional to 180,611.25 and 395,478.75

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Solution

The third proportional to 180,611.25 and 395,478.75 is: 865,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,611.25 : 395,478.75 = 395,478.75 : x
  2. Step 2: Convert to fraction form
    180,611.25/395,478.75 = 395,478.75/x
  3. Step 3: Cross multiply
    180,611.25x = 395,478.75 × 395,478.75
  4. Step 4: Simplify right side
    180,611.25x = 156,403,441,701.56
  5. Step 5: Solve for x
    x = 156,403,441,701.56/180,611.25
  6. Step 6: Final answer
    x = 865,967.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.